It's often necessary to take a somewhat complicated-looking fraction,
like (say) $\,-\frac{5x}{-3}\,$, and rename it.

One popular name is the form $\,kx\,$: i.e., a number first, and the variable $\,x\,$ last.
In general, it is efficient to make two ‘passes’ through the expression:
figure out the sign (plus or minus) on the first pass, and the size on the second pass:
$$
-\frac{5x}{-3}\ \
\overset{\text{first pass, determine plus/minus sign:}}{
\overset{\text{even # of negative factors, so positive}}{\overbrace{\strut\ \ \ =\ \ \ }}}
\ \ \frac{5x}{3}\ \
\overset{\text{‘peel off’ the coefficient}}{
\overset{\text{and write it in front}}{\overbrace{\strut\ \ \ =\ \ \ }}}
\ \
\underset{k}{\underbrace{\ \frac53\ }} x
$$
This exercise gives you practice with this type of renaming.